Free · No sign-up · Year 11 · Maths · Functions & graphs

Free Year 11 Functions & graphs Quiz — 10 Questions, Instant Results

Want to know whether functions and graphs is secure at Year 11 level? Answer 10 questions here, see the score and the correct answers straight away, and then try a new set. Everything is free, part of 3,261 free practice questions RHZ Tutoring publishes, and nothing about your child is collected.

Start the quiz ↓   Or take the free 15-minute Skills Check →

✅ VCE study design aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 11 Maths (VCE) quiz › Functions & graphs

Functions & graphs in Year 11 maths

Here is the ground the questions cover. Year 11 functions covers domain and range, function notation, transformations of graphs, quadratics, cubics, hyperbolas, circles and simple exponential graphs, and identifying key features from an equation.

The items are tagged to the VCE study design for Year 11, so a score here reflects the standard a Year 11 class is working to, not a generic online level.

Mistakes we see most often in functions and graphs

A wrong answer is more useful than a right one if you know why it happened. In sessions with Year 11 students, these are the patterns our tutors see most:

Each of these is fixable in a session or two once it has been named, which is why the results panel below shows the correct answer and an explanation rather than just a score.

Ways to build functions and graphs at Year 11

If the quiz shows a gap, more of the same worksheets rarely fixes it. Try these instead:

  1. State the domain and range for every graph you sketch.
  2. Practise the vertical line test on relations.
  3. Sketch each family of graphs by hand from the key features.

At VCE, practise by hand for Exam 1 and with the CAS for Exam 2, use past papers under time and mark against the examiners' reports. Fix the errors the same week.

How the 10 questions are chosen

The 10 questions are drawn from 12 eligible items on functions and graphs in our Year 11 maths bank, all at the easy and at-level tiers. The selection is fixed for this address so a shared link shows the same quiz; press New set of questions or add ?seed= to the address for a different mix. Options are shuffled, no two questions share a stem, and the answer key is fetched from our server only after you submit, so it is not hidden in the page.

A single-topic quiz is more precise than a mixed one: if the score here is low, the gap is in functions and graphs, not somewhere in Year 11 maths generally. It is still short, though, and it cannot show how a student copes with the stretch and challenge questions that decide a top result. That is what the free Skills Check adds.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 1 · New set of questions →

Question 1
Functions & graphs

A line parallel to y = 4x − 1 has gradient?

Question 2
Functions & graphs

The function f(x) = x² − 6x + k has its vertex on the x-axis. What is the value of k?

Question 3
Functions & graphs

Distance between (0, 0) and (5, 12) is?

Question 4
Functions & graphs

A line has equation 2x − 3y + 6 = 0. What are the x-intercept and y-intercept of this line, respectively?

Question 5
Functions & graphs

The y-intercept of y = −3x + 4 is?

Question 6
Functions & graphs

Gradient through (1, 3) and (4, 12) is?

Question 7
Functions & graphs

The function f(x) = x² − 2x + 3 is defined on the restricted domain x ≥ 1. What is the range of f on this domain?

Question 8
Functions & graphs

Does (2, 7) lie on y = 3x + 1?

Question 9
Functions & graphs

A linear function passes through the points (−1, 5) and (3, −3). What is the equation of this function?

Question 10
Functions & graphs

y = x² − 9 cuts the x-axis at?

How to read a score out of 10

9 or 10 out of 10
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 11 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.

Start the free Skills Check →

2. Printable practice with answers

Our Year 11 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.

Browse practice papers →

3. Tutoring in Melbourne's west or online

Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.

See Maths tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 11 functions and graphs quiz free?

Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.

Why only 10 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in functions and graphs and nowhere else. There are 12 eligible questions on this topic in our Year 11 Maths bank, so several different sets are available before any repeat.

Where do the functions and graphs questions come from?

From RHZ Tutoring's own Year 11 Maths question bank, written to the VCE study design, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in functions and graphs are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.

Is there a mixed Year 11 Maths quiz?

Yes. The Year 11 Maths quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.

Other Maths topics for Year 11

Mixed Year 11 Maths (VCE) quiz (all topics) →

All 3,261 free practice questions, Prep to Year 12 →